应用数学2017，Vol.30Issue(3)：613-622,10.
修正的积分型求和算子在Orlicz空间中的逼近
Approximation by Modified Summation Integral Type Operators in Orlicz Spaces
摘要
Abstract
In the present paper,the Orlicz spaces L*Φ[0,∞),which corresponds to the Young function Φ(x),are introduced and the Hardy-Little-wood property of the Orlicz spaces is given.Then the equivalence theorem between the modified weighted K-functional and the weighted modulus of smoothness is established in Orlicz space.Finally,the direct,inverse and equivalent theorems of modified summation integral type operators are established in Orlicz space then generalized the approximation property of this type operators in Lp[0,∞) space.关键词
Orlicz空间/Young函数/K-泛函/光滑模Key words
Orlicz space/Young function/K-functional/Modulus of smoothness分类
数理科学引用本文复制引用
韩领兄,吴嘎日迪..修正的积分型求和算子在Orlicz空间中的逼近[J].应用数学,2017,30(3):613-622,10.基金项目
Supported by the Foundation of National Natural Science of China (11161033,11461052),the Foundation of National Natural Science of Inner Mongolia(2014BS0106,2016MS0118),the Scientific Research Project of Inner Mongolia University for Nationalities (NMDYB15087) （11161033,11461052）
